Forecast infrastructure cost elasticity

Select a continuous piecewise log-log infrastructure cost response on an internal future block, refit before an untouched chronological holdout, validate against constant unit cost and interval coverage, then forecast price-index-restored cost across coherent workload scenarios.

What it's for

Answers the executive question behind cloud and infrastructure budgets: when demand doubles, does cost scale sublinearly, linearly, or accelerate past a capacity breakpoint—and did that model work on later periods?

What you give it

Inputs split into evidence read from your connected systems, calibration your team owns, and numerical controls that affect precision but never the result's meaning.

Field Type Role Required
future_scenarios array of objects (4 fields) ≥ 2 items Evidence Yes
historical_periods array of objects (5 fields) ≥ 20 items Evidence Yes
holdout_periods integer ≥ 5, ≤ 10000 Your calibration Optional
max_detail_rows integer ≥ 1, ≤ 500 Numerical control Optional
maximum_interval_coverage_error number ≥ 0, ≤ 0.5 Your calibration Optional
minimum_holdout_relative_improvement number ≥ 0, ≤ 1 Your calibration Optional
prediction_interval number ≥ 0.5, ≤ 0.99 Your calibration Optional
ridge_penalty number ≥ 0, ≤ 1000 Your calibration Optional

Each historical_periods record

Field Type Required
id string (non-empty) Yes
observed_cost number (> 0) Yes
period integer (≥ 1) Yes
price_index number (> 0) Yes
workload_units number (> 0) Yes
Example input
{
  "future_scenarios": [
    {
      "id": "base",
      "price_index_by_period": [
        1.4,
        1.4,
        1.4
      ],
      "probability": 0.7,
      "workload_units_by_period": [
        40,
        60,
        100
      ]
    },
    {
      "id": "growth",
      "price_index_by_period": [
        1.4,
        1.4,
        1.4
      ],
      "probability": 0.3,
      "workload_units_by_period": [
        80,
        120,
        160
      ]
    }
  ],
  "historical_periods": [
    {
      "id": "infrastructure-period-00",
      "observed_cost": 44.58686746157203,
      "period": 1,
      "price_index": 1,
      "workload_units": 20
    },
    {
      "id": "infrastructure-period-01",
      "observed_cost": 57.43585499831026,
      "period": 2,
      "price_index": 1.01,

Truncated for display — the full payload is 315 lines.

What you get back

This is the actual output of running the example above — computed by the same function the platform calls, not an illustration.

Example output
{
  "assumptions": [
    "Historical periods are chronological point-in-time observations with comparable workload, fully loaded infrastructure cost and a positive price index; the final holdout is untouched by breakpoint selection and coefficient fitting.",
    "A continuous one-breakpoint log-log response adequately represents real cost elasticity over the supported workload range. Extrapolation, architecture regime changes, vendor tariff discontinuities, commitments, capacity ceilings and correlated residuals require separate scenario treatment.",
    "The piecewise candidate is selected on an internal future block, refit before the untouched holdout, and compared with a constant-unit-cost baseline. Failure of workload variation, holdout improvement or interval coverage is an abstention even when a numerical forecast is returned.",
    "Elasticity is predictive association, not causal proof that demand created cost, a universal benchmark, a vendor-efficiency score or authority to resize, migrate, terminate, purchase or change staffing."
  ],
  "candidate_model_diagnostics": [
    {
      "breakpoint_workload_units": null,
      "selection_mean_absolute_log_error": 0.1177
    },
    {
      "breakpoint_workload_units": 30,
      "selection_mean_absolute_log_error": 0.0706
    },
    {
      "breakpoint_workload_units": 50,
      "selection_mean_absolute_log_error": 0
    },
    {
      "breakpoint_workload_units": 80,
      "selection_mean_absolute_log_error": 0.0728
    }
  ],
  "configuration": {
    "holdout_periods": 5,
    "internal_selection_periods": 7,
    "maximum_interval_coverage_error": 0.25,
    "minimum_holdout_relative_improvement": 0.1,
    "prediction_interval": 0.8,
    "price_index_normalization": "fit real cost as observed_cost divided by price_index; restore future nominal price index",
    "residual_log_standard_deviation": 0,
    "ridge_penalty": 0
  },
  "decision": "infrastructure_cost_elasticity_forecast_clears_validation_gates",
  "future_scenario_forecasts": [
    {
      "forecast_total_expected_cost": 1363.9904,
      "maximum_period_expected_cost": 695.5668,
      "probability": 0.3,
      "scenario_id": "growth",
      "sum_of_period_cost_p10": 1363.9886,
      "sum_of_period_cost_p50": 1363.9904,

Truncated for display — the full payload is 128 lines.

How it works

Forecasting & survival — Estimate when something completes or fails, with censoring and unresolved work handled honestly rather than dropped.

  1. 1 Build a chronological period ledger of positive workload, fully loaded infrastructure cost and price index, reserve the final holdout, and reserve an earlier future block inside training solely for response-shape selection.
  2. 2 Compare constant-elasticity and train-derived breakpoint candidates on the internal selection block, ridge-fit the chosen continuous log-log response on all pre-holdout history, and estimate its residual interval without touching future scenarios.
  3. 3 Require supported workload variation, material holdout error improvement over a constant-unit-cost baseline, and acceptable holdout interval coverage before using the elasticity and price-restored scenario cost forecast.

Before you trust it

Every tool in the catalog ships with the conditions under which its answer is meaningful — and the conditions under which it should abstain instead of guessing.

Assumptions & guardrails

  • Training examples precede their outcomes, censoring and unresolved work are represented, and deployment populations remain comparable to validation cohorts.
  • Workload and fully loaded cost definitions remain comparable through time, price-index normalization is valid, the chosen historical epoch contains no unresolved accounting leakage, and one continuous breakpoint is adequate inside the supported workload range.
  • A predictive interval or risk estimate is not a deadline promise, causal explanation, or individual-performance judgment.
  • Elasticity is a held-out predictive response, not causal proof that demand created cost, a universal efficiency benchmark, a vendor score or authority to resize, migrate, terminate, purchase or change staffing.

Minimum evidence

  • historical_periods: at least 20 rows/items
  • future_scenarios: at least 2 rows/items

How to validate it

Use chronological train/calibration/test windows, compare proper scores and decision value with a simple baseline, and recalibrate only from outcomes resolved after prediction time.

Calibrating it to your org

Same for everyone

The mathematical kernel, validation rules, method version, and JSON output semantics are organization-independent; no tenant-trained coefficients or company benchmark is embedded in the function.

Specific to you

  • versioned tenant infrastructure cost ledger joining metered workload, invoices, allocations, commitments, credits and price normalization without future leakage, plus a prospective demand scenario set on the same service boundary
  • service and cost perimeter, workload denominator, period cadence, accounting and allocation policy, price-index source, tariff/architecture regime epoch, holdout, ridge, prediction interval, improvement and coverage gates, scenario law, extrapolation policy, and FinOps owner

Calibration workflow

  1. 1 Define the management decision, target outcome, aggregate unit, privacy boundary, cadence, and prediction/intervention horizon for this organization.
  2. 2 Build a tenant-scoped historical cohort using only information available before each prediction or decision; preserve zero periods, censoring, assignment probabilities, and unresolved outcomes when the method requires them.
  3. 3 Estimate statistical parameters on training history, but obtain costs, utilities, risk tolerance, practical-effect thresholds, capacity, and policy constraints from accountable decision owners.
  4. 4 Validate on later time windows or held-out aggregate units at the deployment grain, against a simple baseline and the function-specific validation strategy.
  5. 5 Deploy only if the returned decision clears evidence, overlap, calibration, robustness, and guardrail checks; warning, unsupported, schema-gap, and fallback decisions are abstentions.
  6. 6 Monitor realized outcomes, data drift, coverage, and decision regret; recalibrate at a governed cadence or after a detected regime/definition change, never merely because a stakeholder dislikes the result.

Call it from your AI

You don't wire up 388 tools in your MCP client. The GitRevio MCP server exposes 18 tools, three of which let an agent search the catalog, read a tool's schema, and run it — so the assistant finds this one on its own.

gitrevio_capabilities_search
  { "q": "select a continuous piecewise loglog infrastructure" }
  → finds "forecast_infrastructure_cost_elasticity"

gitrevio_capability_describe
  { "capability_id": "forecast_infrastructure_cost_elasticity" }
  → returns the input schema and agent guidance shown on this page

gitrevio_capability_run
  { "capability_id": "forecast_infrastructure_cost_elasticity", "arguments": { ... } }
  → returns the result shown above

Works in Claude Desktop, Claude Code, Cursor, Cline, Continue.dev, Goose and Aider. See the MCP server.

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